1343291040 has 960 divisors, whose sum is σ = 6270130944. Its totient is φ = 262766592.

The previous prime is 1343291029. The next prime is 1343291069. The reversal of 1343291040 is 401923431.

1343291040 = 174³ + 175³ + ... + 281³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1343290995 and 1343291013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20049087 + ... + 20049153.

Almost surely, 2^1343291040 is an apocalyptic number.

1343291040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135065472).

1343291040 is an abundant number, since it is smaller than the sum of its proper divisors (4926839904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1343291040 is a wasteful number, since it uses less digits than its factorization.

1343291040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1343291040 is about 36650.9350494636. The cubic root of 1343291040 is about 1103.3755920892.

The spelling of 1343291040 in words is "one billion, three hundred forty-three million, two hundred ninety-one thousand, forty".